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Finding the Fourth Proportional to 100,412.87, 150,624.31 and 32,938.93

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Solution

The fourth proportional to 100,412.87, 150,624.31 and 32,938.93 is: 49,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.87 : 150,624.31 = 32,938.93 : x
  2. Step 2: Convert to fraction form
    100,412.87/150,624.31 = 32,938.93/x
  3. Step 3: Cross multiply
    100,412.87x = 150,624.31 × 32,938.93
  4. Step 4: Simplify right side
    100,412.87x = 4,961,403,347.45
  5. Step 5: Solve for x
    x = 4,961,403,347.45/100,412.87
  6. Step 6: Final answer
    x = 49,410.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.